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Finding the Fourth Proportional to 922.51, 1,378.06 and 740.26

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Solution

The fourth proportional to 922.51, 1,378.06 and 740.26 is: 1,105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.51 : 1,378.06 = 740.26 : x
  2. Step 2: Convert to fraction form
    922.51/1,378.06 = 740.26/x
  3. Step 3: Cross multiply
    922.51x = 1,378.06 × 740.26
  4. Step 4: Simplify right side
    922.51x = 1,020,122.70
  5. Step 5: Solve for x
    x = 1,020,122.70/922.51
  6. Step 6: Final answer
    x = 1,105.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.